# Spring Constant

Written by Jerry Ratzlaff on . Posted in Constants

Spring constant, abbreviated as $$k_s$$, is the ratio of opposing force to the displacement from the origional position or how much force is needed to change a springs distance.

### Spring Constant formula

$$\large{ k_s = - F \; d_s }$$

$$\large{ k_s = \frac {F} {d_s} }$$

$$\large{ k_s = \frac {2 \; E}{ d^2 } }$$

Where:

$$\large{ k_s }$$ = spring constant

$$\large{ d_s }$$ = spring displacement

$$\large{ E }$$ = spring energy

$$\large{ F }$$ = spring force (applied force)